A Classification of Quantum Particles

A Classification of Quantum Particles

Vu B Ho

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Abstract

In this work, by summarising our recent works on the differential geometric and topological structures of quantum particles and spacetime manifolds, we discuss the possibility to classify quantum particles according to their intrinsic geometric structures associated with differentiable manifolds that are solutions to wave equations of two and three dimensions. We show that fermions of half-integer spin can be identified with differentiable manifolds which are solutions to a general two-dimensional wave equation, in particular, a two dimensional wave equation that can be derived from Dirac equation. On the other hand, bosons of integer spin can be identified with differentiable manifolds which are solutions to a general three-dimensional wave equation, in particular, a three-dimensional wave equation that can be derived from Maxwell field equations of electromagnetism. We also discuss the possibility that being restricted to three-dimensional spatial dimensions we may not be able to observe the whole geometric structure of a quantum particle but rather only the cross-section of the manifold that represents the quantum particle and the space in which we are confined. Even though not in the same context, such view of physical existence may comply with the Copenhagen interpretation of quantum mechanics which states that the properties of a physical system are not definite but can only be determined by observations.

References

30 Cites in Article

Reference Format

B Vu,Ho (2017). Unknown Title.
D' Ray,Inverno (1992). Introducing Einstein's Relativity.
A Einstein (1952). The Principle of Relativity.
Richard Hamilton (1982). Three-manifolds with positive Ricci curvature.
A Walter,Strauss (1992). Partial Differential Equation.
Huai-Dong Cao,Xi-Ping Zhu (2006). A Complete Proof of the Poincaré and Geometrization Conjectures-Application of the Hamilton-Perelman Theory of the Ricci Flow.
B Vu,Ho (2018). Formulation of Maxwell Field Equations from a General System of Linear First Order Partial Differential Equations.
B Vu,Ho (2018). Formulation of Dirac Equation for an Arbitrary Field from a System of Linear First Order Partial Differential Equations.
B Vu,Ho (2018). On Dirac Negative Mass and Magnetic Monopole.
S Melshko (2005). Methods for Constructing Exact Solutions of Partial Differential Equations.
Allen Hatcher (2001). Algebraic Topology.
B Vu,Ho (2018). A Classification of Geometric Interactions.
B Vu,Ho (2018). Temporal Geometric Interactions.
B Vu,Ho (2018). On the Geometric Structures of the Spatiotemporal Manifold.
B Vu,Ho (2018). Quantum Particles as 3D Differentiable Manifolds.
J Milnor (2003). Sobolev inequalities on manifolds.
Allen Hatcher,William Thurston (2015). Moduli Spaces of Circle Packings.
E Kreyszig (1975). Introduction to Differential Geometry and Riemannian Geometry.
H Goldstein (1980). Classical Mechanics.
B Vu,Ho (1994). On the quantization of angular momentum.
Erwin Schrödinger (1982). Erwin Schrödinger — Wave Mechanics.
B Bransden,C Joachain (1989). Introduction to Quantum Mechanics.
Paul Dirac (1928). The quantum theory of the electron.
B Vu,Ho (2016). On the Principle of Least Action.
R Feynman (1948). Space-Time Approach to Non-Relativistic Quantum Mechanics.
C Lanczos (1970). The Variational Principles of Mechanics.
J Jackson (1975). Classical Electrodynamics.
B Vu,Ho (2018). Spacetime Structures of Electromagnetic and Matter Waves.
Lewis Ryder (2009). Introduction to General Relativity.
B Vu,Ho (2017). Euclidean and non-Euclidean Continuum.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Vu B Ho. 2018. \u201cA Classification of Quantum Particles\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 18 (GJSFR Volume 18 Issue A9).

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GJSFR Volume 18 Issue A9

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-A Classification FOR Code: 020699

Submission ReceivedAugust 23, 2018
Peer Review Double Blind
Handling Editor
Accepted September 14, 2018
Published September 24, 2018

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v1.2

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October 1, 2018

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Article Matrices

Total Score: 131

Country: Australia

Subject: Global Journal of Science Frontier Research - A: Physics & Space Science

Authors: Vu B Ho (PhD/Dr. count: 0)

View Count (all-time): 175

Total Views (Real + Logic): 2930

Total Downloads (simulated): 1534

Publish Date: 2018 10, Mon

Monthly Totals (Real + Logic):

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Total Views: 2930

Total Downloads: 1534

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